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1331233341400 = 235261881912373
BaseRepresentation
bin10011010111110011101…
…100001011111111011000
311201021010221101120221101
4103113303230023333120
5133302331213411100
62455320554321144
7165115126461634
oct23276354137730
94637127346841
101331233341400
11473633574936
121960034291b4
13986c4b58841
1448609721dc4
1524965e7386a
hex135f3b0bfd8

1331233341400 has 96 divisors (see below), whose sum is σ = 3146468144400. Its totient is φ = 523662220800.

The previous prime is 1331233341397. The next prime is 1331233341413. The reversal of 1331233341400 is 41433321331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107585614 + ... + 107597986.

Almost surely, 21331233341400 is an apocalyptic number.

1331233341400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331233341400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573234072200).

1331233341400 is an abundant number, since it is smaller than the sum of its proper divisors (1815234803000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1331233341400 is a wasteful number, since it uses less digits than its factorization.

1331233341400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21269 (or 21260 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 1331233341400 its reverse (41433321331), we get a palindrome (1372666662731).

The spelling of 1331233341400 in words is "one trillion, three hundred thirty-one billion, two hundred thirty-three million, three hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 244 305 488 610 1220 1525 2440 3050 6100 8819 12200 12373 17638 24746 35276 44095 49492 61865 70552 88190 98984 123730 176380 220475 247460 309325 352760 440950 494920 537959 618650 754753 881900 1075918 1237300 1509506 1763800 2151836 2474600 2689795 3019012 3773765 4303672 5379590 6038024 7547530 10759180 13448975 15095060 18868825 21518360 26897950 30190120 37737650 53795900 75475300 107591800 109117487 150950600 218234974 436469948 545587435 872939896 1091174870 2182349740 2727937175 4364699480 5455874350 6656166707 10911748700 13312333414 21823497400 26624666828 33280833535 53249333656 66561667070 133123334140 166404167675 266246668280 332808335350 665616670700 1331233341400